10200111112000 has 112 divisors (see below), whose sum is σ = 26746491711888. Its totient is φ = 3840041779200.

The previous prime is 10200111111979. The next prime is 10200111112001. The reversal of 10200111112000 is 21111100201.

It can be written as a sum of positive squares in 8 ways, for example, as 1874993444416 + 8325117667584 = 1369304^2 + 2885328^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200111112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37364409 + ... + 37636408.

Almost surely, 2^{10200111112000} is an apocalyptic number.

10200111112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200111112000 is an abundant number, since it is smaller than the sum of its proper divisors (16546380599888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200111112000 is an equidigital number, since it uses as much as digits as its factorization.

10200111112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000861 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10200111112000 its reverse (21111100201), we get a palindrome (10221222212201).

The spelling of 10200111112000 in words is "ten trillion, two hundred billion, one hundred eleven million, one hundred twelve thousand".